An efficient wavelet-based approximation method for the coupled nonlinear fractal–fractional 2D Schrödinger equations

Modeling attractors of chaotic dynamical systems with fractal–fractional operators

(2019) Abdon Atangana et al.   CHAOS SOLITONS & FRACTALS

A wavelet method to solve nonlinear variable-order time fractional 2D Klein–Gordon equation

(2019) M. Hosseininia et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Linearized Crank–Nicolson scheme for the nonlinear time–space fractional Schrödinger equations

(2019) Maohua Ran et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana–Baleanu–Caputo derivative

(2019) M.H. Heydari et al.   CHAOS SOLITONS & FRACTALS

Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag–Leffler non-singular kernel

(2019) M. Hosseininia et al.   CHAOS SOLITONS & FRACTALS

Chebyshev polynomials for the numerical solution of fractal–fractional model of nonlinear Ginzburg–Landau equation

(2019) M. H. Heydari et al.   ENGINEERING WITH COMPUTERS

A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation

(2019) M. Hosseininia et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations

(2018) Meng Li et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Two-Dimensional Legendre Wavelets for Solving Variable-Order Fractional Nonlinear Advection-Diffusion Equation with Variable Coefficients

(2018) M. Hosseininia et al.   INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

Spectral method and Bayesian parameter estimation for the space fractional coupled nonlinear Schrödinger equations

(2018) Hui Zhang et al.   NONLINEAR DYNAMICS

A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations

(2016) Maohua Ran et al.   Communications in Nonlinear Science and Numerical Simulation

Analytical Solution of the Space-Time Fractional Nonlinear Schrödinger Equation

(2016) Emad A-B. Abdel-Salam et al.   REPORTS ON MATHEMATICAL PHYSICS

Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation

(2016) M. H. Heydari et al.   Advances in Applied Mathematics and Mechanics

A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations

(2015) A.H. Bhrawy et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Analytic and Approximate Solutions of the Space-Time Fractional Schrödinger Equations by Homotopy Perturbation Sumudu Transform Method

(2014) Sara H. M. Hamed et al.   Abstract and Applied Analysis

A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations

(2014) Dongling Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Crank–Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative

(2013) Dongling Wang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Qualitative analysis and explicit traveling wave solutions for the Davey-Stewartson equation

(2013) Ming Song et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system

(2012) Leilei Wei et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS